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Finding the Fourth Proportional to 77,419.73, 106,813.95 and 45,147.04

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Solution

The fourth proportional to 77,419.73, 106,813.95 and 45,147.04 is: 62,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,419.73 : 106,813.95 = 45,147.04 : x
  2. Step 2: Convert to fraction form
    77,419.73/106,813.95 = 45,147.04/x
  3. Step 3: Cross multiply
    77,419.73x = 106,813.95 × 45,147.04
  4. Step 4: Simplify right side
    77,419.73x = 4,822,333,673.21
  5. Step 5: Solve for x
    x = 4,822,333,673.21/77,419.73
  6. Step 6: Final answer
    x = 62,288.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.